On the divisibility among power GCD and power LCM matrices on gcd-closed sets

Let [Formula: see text] and [Formula: see text] be positive integers and let [Formula: see text] be a set of [Formula: see text] distinct positive integers. For [Formula: see text], one defines [Formula: see text]. We denote by [Formula: see text] (respectively, [Formula: see text]) the [Formula: see text] matrix having the [Formula: see text]th power of the greatest common divisor (respectively, the least common multiple) of [Formula: see text] and [Formula: see text] as its [Formula: see text]-entry. In this paper, we show that for arbitrary positive integers [Formula: see text] and [Formula: see text] with [Formula: see text], the [Formula: see text]th power matrices [Formula: see text] and [Formula: see text] are both divisible by the [Formula: see text]th power matrix [Formula: see text] if [Formula: see text] is a gcd-closed set (i.e. [Formula: see text] for all integers [Formula: see text] and [Formula: see text] with [Formula: see text]) such that [Formula: see text]. This confirms two conjectures of Shaofang Hong proposed in 2008.

Justice Against the Epistemicide: Itinerant Curriculum Theory and the Struggle to Decanonize Curriculum Studies

The article places the itinerant curriculum theory at the core of the struggle against the curriculum epistemicide and occidentosis. It unpacks the current contemporary global havoc as a result of the exhausted coloniality of power matrix of Modern Western Eurocentric modernity. In doing so, the piece dissects the challenges faced by a specific radical critical curriculum river framed by particular counter hegemonic approaches in the struggle against the curriculum epistemicide. It claims how counter hegemonic movements and groups, in such struggle against the epistemicide they ended up provoking a reversive epistemicide, by not pay attention to the validity and legitimacy of crucial onto-epistemological perspectives beyond Modern Western Eurocentric platform. Also, the article challenges such counter approaches to deterritorialize and delink from coloniality power matric, in order to open up their own Eurocentric canon and seek an itinerant curriculum theoretical commitment.

Gendered and Racialised Border Security: Displaced People and the Politics of Fear

This article examines the dynamics of constructing current migration from the so-called Global South in ‘risk’, ‘crisis’ and ‘fear’ terms that translate into xenophobic, racialised and gendered processes of ‘othering’ people who are displaced. This is done within the framework of a ‘coloniality of power’ (Quijano 2000b) perspective, understood as the ‘colonial power matrix’ (Grosfoguel 2011). This is how the location from which the current racialised and gendered politics of fear is being constructed. The notion of racialised security leads to racialised masculinity of the ‘Other’, while stigmatising migrant men. These colonial narratives that have created ‘knowledge’ about other masculinities have been invoked and re-articulated within the current racialised processes of securitisation of migration. They have supported construction of the sexual assault of ‘our’ women as the public security concern. Consequently, racially marked rape becomes an important part of State security, linked to national territory and border control.

Using graphs to construct a math model of a microcontroller-based system for preset rate control of a flywheel motor to be used in high-dynamics spacecraft

Developing a microcontroller-based system for controlling the flywheel motor of high-dynamics spacecraft using Russian-made parts and components made it possible to make statement of the problem of searching control function for a preset rotation rate of the flywheel rotor. This paper discusses one of the possible options for mathematical study of the stated problem, namely, application of structural analysis based on graph theory. Within the framework of the stated problem a graph was constructed for generating the new required rate, while in order to consider the stochastic case option the incidence and adjacency matrices were constructed. The stated problem was solved using a power matrix which transforms a set of contiguous matrices of the graph of admissible solution edge sequences, the real-time control function was found. Based on the results of this work, operational trials were run for the developed control function of the flywheel motor rotor rotation rate, a math model was constructed for the real-time control function, and conclusions were drawn about the feasibility of implementing the results of this study. Key words: Control function, graph, incidence matrix, adjacency matrix, power matrix, microcontroller control of the flywheel motor, highly dynamic spacecraft.

The Making of a Petro-State

This book illustrates the ways in which Uganda is transforming into an oil producing country, framed here as a ‘petro-state’. In contrast to the term’s traditional usage, here ‘petro-state’ highlights the deliberate attempt to reorient the political economy of Uganda towards its future production of oil. The expectation of ‘petro-dollars’ has compelled the state to structurally change its institutional infrastructure and attempt to reconfigure the socio-economic and spatial orientation of the population. This book presents the power relations and the dynamic struggles entangling the key actors in the process of making oil production possible in Uganda. It takes a Foucauldian approach to the question of government and power to express how the oil-related projects of development in Uganda are meant to multi-dimensionally improve the population. The author is a political geographer and currently a postdoctoral researcher involved in the ‘Africa Multiple’ Cluster of Excellence based at the University of Bayreuth, who has a keen interest in the politics of resource extraction in Sub-Saharan Africa, resource-related mobility struggles and the power matrix that produces contextually specific resource complexes.

Politico-Critical Analysis: A New Research Framework Applied to Psychiatry

Background: This article presents a new framework called politico-critical analysis based on the contentions of Foucauldian discourse analysis. The framework was developed to address a number of shortcomings and assess further aspects of importance to fields such as mental health and psychiatry. Aim: To present the main principles and steps of the politico-critical analysis framework and, subsequently, to demonstrate its application to a study on the therapeutic alliance in psychiatry. Method: The rationale and main principles of politico-critical analysis are described and applied to a study, the aim of which was to explore the knowledge and power interface in the therapeutic alliance in a psychiatric hospital in Malta. Data were collected during two phases; in the first phase, 10 care receivers, who were selected through purposeful random sampling in a psychiatric hospital in Malta, were interviewed to explore their perception of the knowledge–power balance in the psychiatric therapeutic alliance. The second phase consisted of collecting data from and analyzing a 60-page sample of medical records pertaining to the study participants interviewed in Phase 1. Results: Four themes emerged from the politico-critical analysis of care receivers’ interviews, depicting the knowledge–power interface within therapeutic alliances. From the analysis of medical records, three themes emerged, which shed light on the knowledge–power matrix within the alliances under study. Conclusions: The politico-critical analytical framework was regarded as a helpful agent in facilitating the exploration of the knowledge–power matrix within the psychiatric therapeutic alliance. Strengths and limitations were acknowledged, and the framework might help guide similar potential research.